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Motion in Straight Line
Question
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Why does a body weigh zero at the centre of the earth though its mass is not zero.

Answer

The mass of the body remains the same. But, the weight of the body changes.
At the centre of the earth, acceleration due to gravity is zero. 
Weight, W = mg 
Therefore, 
Weight of the body = 0

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Some More Questions From Motion in Straight Line Chapter

What is motion?

Is absolute rest or absolute motion possible?

What is the most essential thing to study the motion of a body?

Can a body be always at rest in some frame?

Can a body be in motion in the frame associated with the body itself?

When an object in motion can be considered as particle or point object?

Can you think of physical phenomena involving the moon in which moon cannot be treated as particle?

A train is crossing the bridge. Can it be taken as a particle?

Can a train be taken a particle? Give an example in support of your answer.

 A particle is moving along curved line in space. Is the motion one dimensional?